Lehmer's question, knots and surface dynamics
Geometric Topology
2007-08-28 v3 Dynamical Systems
Abstract
Lehmer's question is equivalent to one about generalized growth rates of Lefschetz numbers of iterated pseudo-Anosov surface homeomorphisms. One need consider only homeomorphisms that arise as monodromies of fibered knots in lens spaces L(n,1), n>0. Lehmer's question for Perron polynomials is equivalent to one about generalized growth rates of words under injective free group endomorphisms.
Cite
@article{arxiv.math/0509068,
title = {Lehmer's question, knots and surface dynamics},
author = {Daniel S. Silver and Susan G. Williams},
journal= {arXiv preprint arXiv:math/0509068},
year = {2007}
}
Comments
Small corrections; to appear in Math. Proc. Cambridge Phil. Soc. 17 pages, 1 figure